Please wait a minute...
Chin. Phys. B, 2010, Vol. 19(11): 117502    DOI: 10.1088/1674-1056/19/11/117502
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES Prev   Next  

Influence of Dzyaloshinskii-Moriya and Kaplan-Shekhtman-Entinwohlman-Aharony superexchange interactions on ground state properties of the one-dimensional spin-Peilers model in open chain

Liu Hai-Lian(刘海莲)a)b), Huang Xian-Shan(黄仙山)a),Wang Zhi-Guo(王治国)c), and Shi Yun-Long(石云龙)b)c)
a School of Mathematics and Physics, Anhui University of Technology, Maanshan 243000, China; b Institute of Solid State Physics, Shanxi Datong University, Datong 037009, China; c Pohl Institute of Solid State Physics, Tongji University, Shanghai 200092, China
Abstract  The effects of the Dzyaloshinskii–Moriya (DM) and the Kaplan–Shekhtman–Entinwohlman–Aharony (KSEA) superexchange interactions on the ground state properties of the one-dimensional spin-Peilers system in open chain are studied by using the Lanczos numerical method. The study concentrates mainly on the influence of systemic dimerisation in open chain. The results show that systemic ground state energy density varies with dimerisation parameter $\delta$ in different DM interactions, and there exists a special point $\delta$c where the DM interaction has no influence on the systemic dimerisation, no matter whether the DM interaction is relative or irrelative to systemic dimerisation (η = 1 or η = 0). The KSEA interaction has no fixed special point, but the points of intersection are dense relatively in a certain numberical value range, and sparse in other numberical value ranges. So we can conclude that the antisymmetric anisotropy DM interaction differs from the symmetric anisotropy KSEA interaction, but they are analogous in the sense of the influence of systemic dimerisation in open chain.
Keywords:  dimerisation      Dzyaloshinskii–Moriya interaction      Kaplan–Shekhtman–Entinwohlman–Aharony interaction      open chain  
Received:  18 March 2010      Revised:  20 May 2010      Accepted manuscript online: 
PACS:  75.10.-b (General theory and models of magnetic ordering)  
  75.30.Et (Exchange and superexchange interactions)  
Fund: Project supported by the Natural Science Research Key Program of Higher Education Institution of Anhui Province, China (Grant No. KJ2010A335), and the Youth Science Research Program of Anhui University of Technology, China (Grant No. QZ200824).

Cite this article: 

Liu Hai-Lian(刘海莲), Huang Xian-Shan(黄仙山),Wang Zhi-Guo(王治国), and Shi Yun-Long(石云龙) Influence of Dzyaloshinskii-Moriya and Kaplan-Shekhtman-Entinwohlman-Aharony superexchange interactions on ground state properties of the one-dimensional spin-Peilers model in open chain 2010 Chin. Phys. B 19 117502

[1] Ishikawa Y, Shirane G, Tarvin J and Kohgi M 1977 Phys. Rev. B 16 4956
[2] Lebech B, Bernhard J and Flertoft T 1989 J. Phys.: Condens. Matter 1 6105
[3] Zheludev A, Maslov S, Tsukada I, Zaliznyak I, Regnault P L, Masuda T, Uchinokura K, Erwin R and Shirane G 1998 Phys. Rev. Lett. 81 5410
[4] Kataev V, Choi K Y, Grininger M, Ammerahl U, B"uchner B, Freimuth A and Revcolevschi A 2001 Phys. Rev. Lett. 86 2882
[5] Tsukada I, Takeya J, Masuda T and Uchinokura K 2000 Phys. Rev. B 62 6061
[6] Dzyaloshinsky I 1958 J. Phys. Chem. Solids 4 241
[7] Moriya T 1960 Phys. Rev. 120 91
[8] Anderson P W 1959 Phys. Rev. 115 2
[9] Kaplan Z T 1983 Phys. B: Condens. Matter 49 313
[10] Shekhtman L, Entin-Wohlman O and Aharony A 1992 Phys. Rev. Lett. 69 836
[11] Shekhtman L, Aharony A and Entin-Wohlman O 1993 Phys. Rev. B 47 174
[12] Liu H L, Wang Z G, Chen Y G, Shi Y L and Chen H 2005 Acta Phys. Sin. 54 2329 (in Chinese)
[13] Liu H L, Wang Z G, Yang C Q and Shi Y L 2006 Acta Phys. Sin. bf 55 3688 (in Chinese)
[14] Nakano T and Fukuyama H 1981 J. Phys. Soc. Jpn. 50 2489
[15] Wang Z G, Ding G H and Xu B W 1999 Acta Phys. Sin. 48 296 (in Chinese)
[16] Wang Q B, Xu X F, Tao Q, Wang H T and Xu Z A 2008 Chin. Phys. B 17 3490
[17] Liu H L, Wang Z G, Yang C Q, Huang X S and Shi Y L 2007 Chin. Phys. 16 3858
[18] Li Y Z, Chen Y G and Shi Y L 2006 Acta Phys. Sin. 55 2539 (in Chinese)
[19] Shu L, Chen Y G and Chen H 2002 Acta Phys. Sin. 51 902 (in Chinese)
[20] Xu J, Chen H, Zhang Y M and Feng W G 2000 Acta Phys. Sin. bf 49 1550 (in Chinese)
[21] Xu J, Wang Z G, Shi Y L, Chen Y G and Chen H 2004 Acta Phys. Sin. 53 3882 (in Chinese)
[22] Yang Z G, Wang Z G and Chen H 2002 J. Phys.: Condens. Matter bf 14 199
[23] Aristov D N and Maleyev S V 2001 Physica B 297 78
[1] Dynamics of one-dimensional random quantum XY system with Dzyaloshinskii–Moriya interaction
Li Yin-Fang (李银芳), Kong Xiang-Mu (孔祥木). Chin. Phys. B, 2013, 22(3): 037502.
[2] Scaling of entanglement entropy for spin chain with Dzyaloshinskii–Moriya interaction
Du Long(杜龙),Hou Jing-Min(侯净敏),Ding Jia-Yan(丁伽焱), Zhang Wen-Xin(张文新),Tian Zhi(田志),and Chen Ting-Ting(陈婷婷) . Chin. Phys. B, 2011, 20(2): 020306.
No Suggested Reading articles found!